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Finding the Fourth Proportional to 6,978.26, 9,630.02 and 3,834.65

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Solution

The fourth proportional to 6,978.26, 9,630.02 and 3,834.65 is: 5,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.26 : 9,630.02 = 3,834.65 : x
  2. Step 2: Convert to fraction form
    6,978.26/9,630.02 = 3,834.65/x
  3. Step 3: Cross multiply
    6,978.26x = 9,630.02 × 3,834.65
  4. Step 4: Simplify right side
    6,978.26x = 36,927,756.19
  5. Step 5: Solve for x
    x = 36,927,756.19/6,978.26
  6. Step 6: Final answer
    x = 5,291.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.